Tag: Eureka Math Grade 5 Module 1

Engage NY Eureka Math 5th Grade Module 1 Lesson 16 Answer Key

Eureka Math Grade 5 Module 1 Lesson 16 Sprint Answer Key

A
Multiply and Divide by Exponents


Answer:-

Question 1.
10 × 10 =
Answer:-  100

Question 2.
10² =
Answer:-  100

Question 3.
10² × 10 =
Answer:-  1000

Question 4.
10³ =
Answer:-  1000

Question 5.
10³ × 10 =
Answer:-  10000

Question 6.
10⁴ =
Answer:-  10000

Question 7.
3 × 100 =
Answer:-  300

Question 8.
3 × 10² =
Answer:-  300

Question 9.
3.1 × 10² =
Answer:-  310

Question 10.
3.15 × 10² =
Answer:-  315

Question 11.
3.157 × 10² =
Answer:-  315.7

Question 12.
4 × 1,000 =
Answer:-  4000

Question 13.
4 × 10³ =
Answer:-  4000

Question 14.
4.2 × 10³ =
Answer:-  4200

Question 15.
4.28 × 10³ =
Answer:-  4280

Question 16.
4.283 × 10³ =
Answer:-  4283

Question 17.
5 × 10,000 =
Answer:-  50000

Question 18.
5 × 10⁴ =
Answer:-  50000

Question 19.
5.7 × 10⁴ =
Answer:-  57000

Question 20.
5.73 × 10⁴ =
Answer:-  57300

Question 21.
5.731 × 10⁴ =
Answer:-  57310

Question 22.
24 × 100 =
Answer:-  2400

Question 23.
3,400 ÷ 10² =
Answer:-  34

Question 24.
3,470 ÷ 10² =
Answer:-  34.70

Question 25.
3,407 ÷ 10² =
Answer:-  34.07

Question 26.
3,400.7 ÷ 10² =
Answer:-  34.007

Question 27.
63,000 ÷ 1,000 =
Answer:-  63

Question 28.
63,000 ÷ 10³ =
Answer:- 63

Question 29.
63,800 ÷ 10³ =
Answer:- 63.8

Question 30.
63,080 ÷ 10³ =
Answer:- 63.080

Question 31.
63,082 ÷ 10³ =
Answer:- 63.082

Question 32.
81,000 ÷ 10,000 =
Answer:-  8.1

Question 33.
81,000 ÷ 10⁴ =
Answer:-  8.1

Question 34.
81,400 ÷ 10⁴ =
Answer:- 8.14

Question 35.
81,040 ÷ 10⁴ =
Answer:- 8.1040

Question 36.
91,070 ÷ 10⁴ =
Answer:- 9.1070

Question 37.
120 ÷ 10² =
Answer:- 1.2

Question 38.
350 ÷ 10³ =
Answer:- 0.350

Question 39.
45,920 ÷ 10⁴ =
Answer:- 4.5920

Question 40.
6,040 ÷ 10³ =
Answer:- 6.040

Question 41.
61,080 ÷ 10⁴ =
Answer:- 6.1080

Question 42.
7.8 ÷ 10² =
Answer:- 0.078

Question 43.
40,870 ÷ 10³ =
Answer:- 40.870

Question 44.
52,070.9 ÷ 10² =
Answer:- 520.709

B
Multiply and Divide by Exponents


Answer:-

Question 1.
10 × 10 × 1 =
Answer:-  100

Question 2.
10² =
Answer:- 100

Question 3.
10² × 10 =
Answer:-  1000

Question 4.
10³ =
Answer:- 1000

Question 5.
10³ × 10 =
Answer:- 10000

Question 6.
10⁴ =
Answer:- 10000

Question 7.
500 ÷ 100 =
Answer:- 5

Question 8.
500 ÷ 10² =
Answer:- 5

Question 9.
510 ÷ 10² =
Answer:- 5.1

Question 10.
516 ÷ 10² =
Answer:- 5.16

Question 11.
516.7 ÷ 10² =
Answer:- 5.167

Question 12.
6,000 ÷ 1,000 =
Answer:- 6

Question 13.
6,000 ÷ 10³ =
Answer:- 6

Question 14.
6,200 ÷ 10³ =
Answer:- 6.2

Question 15.
6,280 ÷ 10³ =
Answer:- 6.280

Question 16.
6,283 ÷ 10³ =
Answer:- 6.283

Question 17.
70,000 ÷ 10,000 =
Answer:- 7

Question 18.
70,000 ÷ 10⁴ =
Answer:- 7

Question 19.
76,000 ÷ 10⁴ =
Answer:- 7.6

Question 20.
76,300 ÷ 10⁴ =
Answer:- 7.63

Question 21.
76,310 ÷ 10⁴ =
Answer:- 7.6310

Question 22.
4,300 ÷ 100 =
Answer:- 43

Question 23.
4,300 ÷ 10² =
Answer:- 43

Question 24.
4,370 ÷ 10² =
Answer:- 43.7

Question 25.
4,307 ÷ 10² =
Answer:- 43.07

Question 26.
4,300.7 ÷ 10² =
Answer:- 43.007

Question 27.
73,000 ÷ 1,000 =
Answer:- 73

Question 28.
73,000 ÷ 10³ =
Answer:- 73

Question 29.
73,800 ÷ 10³ =
Answer:- 73.8

Question 30.
73,080 ÷ 10³ =
Answer:- 73.080

Question 31.
73,082 ÷ 10³ =
Answer:- 73.082

Question 32.
91,000 ÷ 10,000 =
Answer:- 9.1

Question 33.
91,000 ÷ 10⁴ =
Answer:- 9.1

Question 34.
91,400 ÷ 10⁴ =
Answer:- 9.14

Question 35.
91,040 ÷ 10⁴ =
Answer:- 9.1040

Question 36.
81,070 ÷ 10⁴ =
Answer:- 8.1070

Question 37.
170 ÷ 10² =
Answer:- 1.7

Question 38.
450 ÷ 10³ =
Answer:- 0.450

Question 39.
54,920 ÷ 10⁴ =
Answer:- 5.4920

Question 40.
4,060 ÷ 10³ =
Answer:- 4.060

Question 41.
71,080 ÷ 10⁴ =
Answer:- 7.1080

Question 42.
8.7 ÷ 10² =
Answer:- 0.087

Question 43.
60,470 ÷ 10³ =
Answer:- 60.470

Question 44.
72,050.9 ÷ 10² =
Answer:- 720.509

Eureka Math Grade 5 Module 1 Lesson 16 Problem Set Answer Key

Solve.

Question 1.
Mr. Frye distributed $126 equally among his 4 children for their weekly allowance.
a. How much money did each child receive?
Answer:-  $126 ÷ 4 = $31.50. Each child has received $31.50

b. John, the oldest child, paid his siblings to do his chores. If John pays his allowance equally to his brother and two sisters, how much money will each of his siblings have received in all?
Answer:-  $40 will be received to each of his siblings. Because 31.50 ÷ 3 = 10.50 so each sibling gets $10.50 And already his father have give 30.50
totally they have $40.

Question 2.
Ava is 23 cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is 1.78 m tall, how tall are Ava and Olivia? Express their heights in centimeters.
Answer:-  Olivia is half the height of Lucas. If Lucas is 1.78 m tall, i.e., 1.78 ÷ 2 = 0.89m
0.89m x 100 = 89cm
Ava is 23 cm taller than Olivia i.e., 23 + 89 = 112cm
23.89 x 100 = 2389cm
Lucas is 1.78 m tall

Question 3.
Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. How much money will he save if he pays cash for the computer instead of paying for it in monthly payments?
Answer:-  Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. The down payment is $510 and EMI per month is $35.75 i.e., 35.75 x 8 = 286 + 510 = $796. If he pays the cost $699.99 then he will save
$796 – $699.99 = $96.01

Question 4.
Brandon mixed 6.83 lb of cashews with 3.57 lb of pistachios. After filling up 6 bags that were the same size with the mixture, he had 0.35 lb of nuts left. What was the weight of each bag? Use a tape diagram, and show your calculations.
Answer:-  Each bag contains 1.675 lb of nuts.

Question 5.
The bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is needed to make a loaf of bread.
a. If 4 batches of muffins and 5 loaves of bread are baked, how much flour will be left? Give your answer in kilograms.
Answer:- If 4 batches of muffins and 5 loaves of bread are baked,
4 x 0.475kg = 1.9 kg
5 x 0.65kg = 3.25; So flour used is 1.9 kg + 3.25kg = 5.15kg. So left flour is 4 x 3.5 = 14.
Therefore, 14kg – 5.15kg = 8.85kg.

b. The remaining flour is stored in bins that hold 3 kg each. How many bins will be needed to store the flour? Explain your answer.
Answer:- The remaining flour is stored in bins that hold 3 kg each. So, we have 8.85 kg flour
nearly 9kg. so each bin stores 3kg i.e., 9 ÷ 3 = 3. So, 3 bins will be needed to store the flour.

Eureka Math Grade 5 Module 1 Lesson 16 Exit Ticket Answer Key

Write a word problem with two questions that matches the tape diagram below, and then solve.

Weight of John’s Dog

Weight of Jim’s Dog
Answer:-
Weight of John’s Dog
Weight of Jim’s Dog

Eureka Math Grade 5 Module 1 Lesson 16 Homework Answer Key

Solve using tape diagrams.

Question 1.
A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and
9.5 meters on Tuesday. He installed the rest of the fence in equal lengths on Wednesday through Friday. How many meters of fencing did he install on each of the last three days?
Answer:-  A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday. In Monday and Tuesday he installed
42.6 – 13.45 – 9.5 = 19.65. In the rest of the fence in equal lengths on Wednesday through Friday.
19.65 ÷ 3 = 6.55m he installed.

Question 2.
Jenny charges $9.15 an hour to babysit toddlers and $7.45 an hour to babysit school-aged children.
a. If Jenny babysat toddlers for 9 hours and school-aged children for 6 hours, how much money did she earn in all?
Answer:-  If Jenny babysat toddlers for 9 hours i.e., 9 x $9.15 = 82.35
and school-aged children for 6 hours, i.e., 6 x $7.45 = $44.7. Therefore total money she earns  $127.05.

b. Jenny wants to earn $1,300 by the end of the summer. How much more will she need to earn to meet her goal?
Answer:-  She need to earns to meet her goal is $1,300 – $127.05 = $1,172.95

Question 3.
A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?
Answer:- Table weigh 157.84 – 235.68 = 77.84. So, each each chair weighs 77.84 ÷ 8 = 9.73 lb.

Question 4.
Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally into 5 containers. How much blue paint is in each container? Give your answer in liters.
Answer:- 1.24 x 3 = 3.72l of blue paint So in each container the blue paint is 3.72 – 1.24 = 2.48l
2.48 x 5 = 0.744 L blue paint in each container.

Engage NY Eureka Math 5th Grade Module 1 Lesson 15 Answer Key

Eureka Math Grade 5 Module 1 Lesson 15 Sprint Answer Key

A
Multiply by Exponents


Answer:-

Question 1.
10 × 10 =
Answer:-  100

Question 2.
10² =
Answer:-  100

Question 3.
10² × 10 =
Answer:-  1000

Question 4.
10³ =
Answer:-  1000

Question 5.
10³ × 10 =
Answer:-  10000

Question 6.
10⁴ =
Answer:-  10000

Question 7.
3 × 100 =
Answer:-  300

Question 8.
3 × 10² =
Answer:-  300

Question 9.
3.1 × 10² =
Answer:-  310

Question 10.
3.15 × 10² =
Answer:-  315

Question 11.
3.157 × 10² =
Answer:-  315.7

Question 12.
4 × 1,000 =
Answer:-  4000

Question 13.
4 × 10³ =
Answer:-  4000

Question 14.
4.2 × 10³ =
Answer:-  4200

Question 15.
4.28 × 10³ =
Answer:-  4280

Question 16.
4.283 × 10³ =
Answer:-  4283

Question 17.
5 × 10,000 =
Answer:-  50000

Question 18.
5 × 10⁴ =
Answer:-  50000

Question 19.
5.7 × 10⁴ =
Answer:-  57000

Question 20.
5.73 × 10⁴ =
Answer:-  57300

Question 21.
5.731 × 10⁴ =
Answer:-  57310

Question 22.
24 × 100 =
Answer:-  2400

Question 23.
24 × 10² =
Answer:-  2400

Question 24.
24.7 × 10² =
Answer:-  2470

Question 25.
24.07 × 10² =
Answer:-  2407

Question 26.
24.007 × 10² =
Answer:-  Answer:-  2400.7

Question 27.
53 × 1,000 =
Answer:-  53000

Question 28.
53 × 10³ =
Answer:-   53000

Question 29.
53.8 × 10³ =
Answer:-  53800

Question 30.
53.08 × 10³ =
Answer:-  53080

Question 31.
53.082 × 10³ =
Answer:-  53082

Question 32.
9.1 × 10,000 =
Answer:-  91000

Question 33.
9.1 × 10⁴ =
Answer:-  91000

Question 34.
91.4 × 10⁴ =
Answer:-  914000

Question 35.
91.104 × 10⁴ =
Answer:-  911040

Question 36.
91.107 × 10⁴ =
Answer:-  911070

Question 37.
1.2 × 10² =
Answer:-  120

Question 38.
0.35 × 10³ =
Answer:-  350

Question 39.
5.492 × 10⁴ =
Answer:-  54920

Question 40.
8.04 × 10³ =
Answer:-  8040

Question 41.
7.109 × 10⁴ =
Answer:-  71090

Question 42.
0.058 × 10² =
Answer:-   5.8

Question 43.
20.78 × 10³ =
Answer:-  20780

Question 44.
420.079 × 10² =
Answer:-  42007.9

B
Multiply by Exponents


Answer:-

Question 1.
10 × 10 × 1 =
Answer:-  100

Question 2.
10² =
Answer:-  100

Question 3.
10² × 10 =
Answer:-  1000

Question 4.
10³ =
Answer:-  1000

Question 5.
10³ × 10 =
Answer:-  10000

Question 6.
10⁴ =
Answer:-  10000

Question 7.
4 × 100 =
Answer:-  400

Question 8.
4 × 10² =
Answer:-  400

Question 9.
4.1 × 10² =
Answer:-  410

Question 10.
4.15 × 10² =
Answer:-  415

Question 11.
4.157 × 10² =
Answer:-  415.7

Question 12.
5 × 1,000 =
Answer:-  5000

Question 13.
5 × 10³ =
Answer:-  5000

Question 14.
5.2 × 10³ =
Answer:-  5200

Question 15.
5.28 × 10³ =
Answer:-  5280

Question 16.
5.283 × 10³ =
Answer:-  5283

Question 17.
7 × 10,000 =
Answer:-  70000

Question 18.
7 × 10⁴ =
Answer:-  70000

Question 19.
7.5 × 10⁴ =
Answer:-  75000

Question 20.
7.53 × 10⁴ =
Answer:-  75300

Question 21.
7.531 × 10⁴ =
Answer:-  75310

Question 22.
42 × 100 =
Answer:-  4200

Question 23.
42 × 10² =
Answer:-  4200

Question 24.
42.7 × 10² =
Answer:-  4270

Question 25.
42.07 × 10² =
Answer:-  4207

Question 26.
42.007 × 10² =
Answer:-  4200.7

Question 27.
35 × 1,000 =
Answer:-  35000

Question 28.
35 × 10³ =
Answer:-  35000

Question 29.
35.8 × 10³ =
Answer:-  35800

Question 30.
35.08 × 10³ =
Answer:-  35080

Question 31.
35.082 × 10³ =
Answer:-  35082

Question 32.
8.1 × 10,000 =
Answer:-  81000

Question 33.
8.1 × 10⁴ =
Answer:-  81000

Question 34.
81.4 × 10⁴ =
Answer:-  814000

Question 35.
81.104 × 10⁴ =
Answer:-  811040

Question 36.
81.107 × 10⁴ =
Answer:-  811070

Question 37.
1.3 × 10² =
Answer:-  130

Question 38.
0.53 × 10³ =
Answer:-  5.3

Question 39.
4.391 × 10⁴ =
Answer:-  43910

Question 40.
7.03 × 10³ =
Answer:-  7030

Question 41.
6.109 × 10⁴ =
Answer:-  61090

Question 42.
0.085 × 10² =
Answer:-  8.5

Question 43.
30.87 × 10³ =
Answer:-  30870

Question 44.
530.097 × 10² =
Answer:-  53009.7

Eureka Math Grade 5 Module 1 Lesson 15 Problem Set Answer Key

Question 1.
Draw place value disks on the place value chart to solve. Show each step in the standard algorithm.
a. 0.5 ÷ 2 = _______

Answer:-  0.5 ÷ 2 = 0.25

b. 5.7 ÷ 4 = _______

Answer:- 5.7 ÷ 4 = 1.425

Question 2.
Solve using the standard algorithm.
a. 0.9 ÷ 2 =
Answer:-   0.9 ÷ 2 =  0.45

b. 9.1 ÷ 5 =
Answer:-  9.1 ÷ 5 = 1.82

c. 9 ÷ 6 =
Answer:- 9 ÷ 6 = 1.5

d. 0.98 ÷ 4 =
Answer:- 0.98 ÷ 4 = 0.245

e. 9.3 ÷ 6 =
Answer:- 9.3 ÷ 6 = 1.55

f. 91 ÷ 4 =
Answer:- 91 ÷ 4 = 22.75

Question 3.
Six bakers shared 7.5 kilograms of flour equally. How much flour did they each receive?
Answer:- Each bakers received 6 ÷ 7.5 = 1.25 kg

Question 4.
Mrs. Henderson makes punch by mixing 10.9 liters of apple juice, 0.6 liters of orange juice, and 8 liters of ginger ale. She pours the mixture equally into 6 large punch bowls. How much punch is in each bowl? Express your answer in liters.
Answer:-  Mrs. Henderson makes punch by mixing 10.9 liters of apple juice, 0.6 liters of orange juice, and 8 liters of ginger ale
10.9 + 0.6 + 8 = 19.5L total liters of punch. She pours it in 6 equal bowls So, 19.5L ÷ 6 = 3.25L punch in each bowl.

Eureka Math Grade 5 Module 1 Lesson 15 Exit Ticket Answer Key

Question 1.
Draw place value disks on the place value chart to solve. Show each step in the standard algorithm.
0.9 ÷ 4 = _______

Answer:-

Question 2.
Solve using the standard algorithm.
9.8 ÷ 5 =
Answer:- 9.8 ÷ 5 =1.96

Eureka Math Grade 5 Module 1 Lesson 15 Homework Answer Key

Question 1.
Draw place value disks on the place value chart to solve. Show each step in the standard algorithm.
a. 0.7 ÷ 4 = _______

Answer:-  0.7 ÷ 4 = 0.175

b. 8.1 ÷ 5 = _______

Answer:-  8.1 ÷ 5 = 1.62

Question 2.
Solve using the standard algorithm.
a. 0.7 ÷ 2 =
Answer:-  0.7 ÷ 2 = 0.35

b. 3.9 ÷ 6 =
Answer:-  3.9 ÷ 6 = 0.65

c. 9 ÷ 4 =
Answer:-  9 ÷ 4 = 2.25

d. 0.92 ÷ 2 =
Answer:-  0.92 ÷ 2 = 0.46

e. 9.4 ÷ 4 =
Answer:-  9.4 ÷ 4 = 2.35

f. 91 ÷ 8 =
Answer:-  91 ÷ 8 = 11.375

Question 3.
A rope 8.7 meters long is cut into 5 equal pieces. How long is each piece?
Answer:- A rope 8.7 meters long is cut into 5 equal pieces. If we make 8.7 into 5 equal parts then, 8.7 ÷ 5 = 1.74m

Question 4.
Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of apple juice left. How many gallons of apple juice are in each container?
Answer:-  Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of apple juice left.
If we divide the no .of gallons with no. of filled bottles then, 6 ÷ 4 = 1.425 gal.

Engage NY Eureka Math 5th Grade Module 1 Lesson 14 Answer Key

Eureka Math Grade 5 Module 1 Lesson 14 Problem Set Answer Key

Question 1.
Draw place value disks on the place value chart to solve. Show each step using the standard algorithm.
a. 4.236 ÷ 3 = ______

Answer:- 4.236 ÷ 3 =  1.412

b. 1.324 ÷ 2 = ______

Answer:- 1.324 ÷ 2 = 0.662

Question 2.
Solve using the standard algorithm.
a. 0.78 ÷ 3 = ___
Answer:-  0.78 ÷ 3 = 0.26

b. 7.28 ÷ 4 = ___
Answer:- 7.28 ÷ 4 = 1.82

c. 17.45 ÷ 5 = ____
Answer:- 17.45 ÷ 5 = 3.49

Question 3.
Grayson wrote 1.47 ÷ 7 = 2.1 in her math journal.
Use words, numbers, or pictures to explain why Grayson’s thinking is incorrect.
Answer:-  Grayson wrote 1.47 ÷ 7 = 2.1 in her math journal. which is incorrect because 1.47 ÷ 7 which is not equal to 2.1 and 2.1 is greater than 1.47
when divided any number with any number its quotient will be less than the dividend number so 1.47 is dividing into 7 parts and the answer will be 0.21

Question 4.
Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?
Answer:- Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals and per each goal she used 0.37m of netting
1.48 ÷ 4 = 0.37

Question 5.
Esperanza usually buys avocados for $0.94 apiece. During a sale, she gets 5 avocados for $4.10. How much money did she save per avocado? Use a tape diagram, and show your calculations.
Answer:-  0.94 – 0.82 = 0.12. She saves $0.12

Eureka Math Grade 5 Module 1 Lesson 14 Exit Ticket Answer Key

Question 1.
Draw place value disks on the place value chart to solve. Show each step using the standard algorithm.
5.372 ÷ 2 =

Answer:- 5.372 ÷ 2 = 2.686

Question 2.
Solve using the standard algorithm.
0.576 ÷ 4 = ____
Answer:-  0.576 ÷ 4 = 0.144

Eureka Math Grade 5 Module 1 Lesson 14 Homework Answer Key

Question 1.
Draw place value disks on the place value chart to solve. Show each step using the standard algorithm.
a. 5.241 ÷ 3 =

Answer:-  5.241 ÷ 3 = 1.747

b. 5.372 ÷ 4 =

Answer:- 5.372 ÷ 4 = 1.343

Question 2.
Solve using the standard algorithm.
a. 0.64 ÷ 4 = ___
Answer:- 0.64 ÷ 4 = 0.16

b. 6.45 ÷ 5 = ____
Answer:- 6.45 ÷ 5 = 1.29

c. 16.404 ÷ 6 = ___
Answer:-  16.404 ÷ 6 = 2.734

Question 3.
Mrs. Mayuko paid $40.68 for 3 kg of shrimp. What’s the cost of 1 kilogram of shrimp?
Answer:-  Mrs. Mayuko paid $40.68 for 3 kg of shrimp. The cost of each kg Shrimp is $40.68 ÷ 3 = $13.56

Question 4.
The total weight of 6 pieces of butter and a bag of sugar is 3.8 lb. If the weight of the bag of sugar is 1.4 lb, what is the weight of each piece of butter?
Answer:- The total weight of 6 pieces of butter and a bag of sugar is 3.8 lb. If the weight of the bag of sugar is 1.4 lb and the weight of each piece of butter is  3.8 – 1.4 = 2.4, so the weight of each piece of butter is 2.4 ÷ 6 = 0.4 lb.

Engage NY Eureka Math 5th Grade Module 1 Lesson 13 Answer Key

Eureka Math Grade 5 Module 1 Lesson 13 Sprint Answer Key

A
Subtract Decimals

Question 1.
5 – 1 =
Answer:- 4

Question 2.
5.9 – 1 =
Answer:- 4.9

Question 3.
5.93 – 1 =
Answer:- 4.93

Question 4.
5.932 – 1 =
Answer:- 4.932

Question 5.
5.932 – 2 =
Answer:-  3.932

Question 6.
5.932 – 4 =
Answer:- 1.932

Question 7.
0.5 – 0.1 =
Answer:- 0.4

Question 8.
0.53 – 0.1 =
Answer:- 0.43

Question 9.
0.539 – 0.1 =
Answer:- 0.493

Question 10.
8.539 – 0.1 =
Answer:- 8.439

Question 11.
8.539 – 0.2 =
Answer:- 8.339

Question 12.
8.539 – 0.4 =
Answer:- 8.139

Question 13.
0.05 – 0.01 =
Answer:- 0.04

Question 14.
0.057 – 0.01 =
Answer:- 0.047

Question 15.
1.057 – 0.01 =
Answer:- 1.047

Question 16.
1.857 – 0.01 =
Answer:- 1.847

Question 17.
1.857 – 0.02 =
Answer:- 1.837

Question 18.
1.857 – 0.04 =
Answer:- 1.817

Question 19.
0.005 – 0.001 =
Answer:- 0.004

Question 20.
7.005 – 0.001 =
Answer:- 7.004

Question 21.
7.905 – 0.001 =
Answer:- 7.904

Question 22.
7.985 – 0.001 =
Answer:- 7.984

Question 23.
7.985 – 0.002 =
Answer:- 7.983

Question 24.
7.985 – 0.004 =
Answer:- 7.981

Question 25.
2.7 – 0.1 =
Answer:- 2.6

Question 26.
2.785 – 0.1 =
Answer:- 2.685

Question 27.
2.785 – 0.5 =
Answer:- 2.285

Question 28.
4.913 – 0.4 =
Answer:- 4.513

Question 29.
3.58 – 0.01 =
Answer:- 3.57

Question 30.
3.586 – 0.01 =
Answer:- 3.876

Question 31.
3.586 – 0.05 =
Answer:- 3.536

Question 32.
7.982 – 0.04 =
Answer:- 7.942

Question 33.
6.126 – 0.001 =
Answer:- 6.125

Question 34.
6.126 – 0.004 =
Answer:- 6.122

Question 35.
9.348 – 0.006 =
Answer:- 9.342

Question 36.
8.347 – 0.3 =
Answer:- 8.047

Question 37.
9.157 – 0.05 =
Answer:- 9.107

Question 38.
6.879 – 0.009 =
Answer:- 6.870

Question 39.
6.548 – 2 =
Answer:- 6.528

Question 40.
6.548 – 0.2 =
Answer:- 6.348

Question 41.
6.548 – 0.02 =
Answer:- 6.528

Question 42.
6.548 – 0.002 =
Answer:- 6.546

Question 43.
6.196 – 0.06 =
Answer:- 6.136

Question 44.
9.517 – 0.004 =
Answer:- 9.513

B
Subtract Decimals


Answer:-

Question 1.
6 – 1 =
Answer:- 5

Question 2.
6.9 – 1 =
Answer:- 5.9

Question 3.
6.93 – 1 =
Answer:- 5.93

Question 4.
6.932 – 1 =
Answer:- 5.932

Question 5.
6.932 – 2 =
Answer:- 4.932

Question 6.
6.932 – 4 =
Answer:- 2.932

Question 7.
0.6 – 0.1 =
Answer:- 0.5

Question 8.
0.63 – 0.1 =
Answer:- 0.53

Question 9.
0.639 – 0.1 =
Answer:- 0.539

Question 10.
8.639 – 0.1 =
Answer:- 8.539

Question 11.
8.639 – 0.2 =
Answer:- 8.439

Question 12.
8.639 – 0.4 =
Answer:- 8.239

Question 13.
0.06 – 0.01 =
Answer:- 0.05

Question 14.
0.067 – 0.01 =
Answer:- 0.057

Question 15.
1.067 – 0.01 =
Answer:- 1.057

Question 16.
1.867 – 0.01 =
Answer:- 1.857

Question 17.
1.867 – 0.02 =
Answer:- 1.847

Question 18.
1.867 – 0.04 =
Answer:- 1.827

Question 19.
0.006 – 0.001 =
Answer:- 0.005

Question 20.
7.006 – 0.001 =
Answer:- 7.005

Question 21.
7.906 – 0.001 =
Answer:- 7.905

Question 22.
7.986 – 0.001 =
Answer:- 7.985

Question 23.
7.986 – 0.002 =
Answer:- 7.984

Question 24.
7.986 – 0.004 =
Answer:- 7.982

Question 25.
3.7 – 0.1 =
Answer:- 3.6

Question 26.
3.785 – 0.1 =
Answer:- 3.685

Question 27.
3.785 – 0.5 =
Answer:- 3.285

Question 28.
5.924 – 0.4 =
Answer:- 5.524

Question 29.
4.58 – 0.01 =
Answer:- 4.57

Question 30.
4.586 – 0.01 =
Answer:- 4.576

Question 31.
4.586 – 0.05 =
Answer:- 4.536

Question 32.
6.183 – 0.04 =
Answer:- 6.143

Question 33.
7.127 – 0.001 =
Answer:- 7.126

Question 34.
7.127 – 0.004 =

Question 35.
1.459 – 0.006 =
Answer:- 1.453

Question 36.
8.457 – 0.4 =
Answer:- 8.057

Question 37.
1.267 – 0.06 =
Answer:- 1.207

Question 38.
7.981 – 0.001 =
Answer:- 7.980

Question 39.
7.548 – 2 =
Answer:- 5.548

Question 40.
7.548 – 0.2 =
Answer:- 7.348

Question 41.
7.548 – 0.02 =
Answer:- 7.528

Question 42.
7.548 – 0.002 =
Answer:- 7.546

Question 43.
7.197 – 0.06 =
Answer:- 7.137

Question 44.
1.627 – 0.004 =
Answer:- 1.623

Eureka Math Grade 5 Module 1 Lesson 13 Problem Set Answer Key

Question 1.
Complete the sentences with the correct number of units, and then complete the equation.
a. 4 groups of ___ tenths is 1.6. 1.6 ÷ 4 = ___
Answer:- 4 groups of  4 tenths is 1.6. 1.6 ÷ 4 = 0.4

b. 8 groups of ____ hundredths is 0.32. 0.32 ÷ 8 = ___
Answer:-8 groups of 4 hundredths is 0.32. 0.32 ÷ 8 = 4

c. 7 groups of __ thousandths is 0.084. 0.084 ÷ 7 = ___
Answer:-7 groups of 12 thousandths is 0.084. 0.084 ÷ 7 = 0.012

d. 5 groups of ___ tenths is 2.0. 2.0 ÷ 5 = ___
Answer:- 5 groups of 4 tenths is 2.0. 2.0 ÷ 5 = 0.4

Question 2.
Complete the number sentence. Express the quotient in units and then in standard form.
a. 4.2 ÷ 7 = ______ tenths ÷ 7 = ______ tenths = _______
Answer:- 4.2 ÷ 7 = 42 tenths ÷ 7 = 6 tenths = 0.6

b. 2.64 ÷ 2 = ___ ones ÷ 2 + ___ hundredths ÷ 2
= _____ ones + __ hundredths
= ____
Answer:-  2.64 ÷ 2 = 2 ones ÷ 2 + 64 hundredths ÷ 2
= 1 ones + 32 hundredths
= 1.32

c. 12.64 ÷ 2 = ___ ones ÷ 2 + __ hundredths ÷ 2
= _______ ones + ___ hundredths
= ___
Answer:-  12.64 ÷ 2 = 12 ones ÷ 2 + 64 hundredths ÷ 2
= 6 ones + 32 hundredths
= 6.32

d. 4.26 ÷ 6 = __ tenths ÷ 6 + __ hundredths ÷ 6
= ____________
= ____________
Answer:-  4.26 ÷ 6 = 42 tenths ÷ 6 + 6 hundredths ÷ 6
= 7 ones + 1 hundredths
= 0.71

e. 4.236 ÷ 6 = ____________
= ____________
= ____________
Answer:- 4.236 ÷ 6 = 42 tenths ÷ 6 + 36 thousandths ÷ 6
= 7 tenths + 6 thousandths
= 0.706

Question 3.
Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients.
a. 32 ÷ 8 = ___ 3.2 ÷ 8 = ____
Answer:- 32 ÷ 8 = 4; 3.2 ÷ 8 = 0.4
The first quotients is 10 times larger than the second one. because the first is whole number and the second one is decimal number and the number
were being divided into 8 equal numbers. second one is not whole number so it becomes 10 times lesser than the first one.

b. 81 ÷ 9 = __ 0.081 ÷ 9 = _____
Answer:- 81 ÷ 9 = 9; 0.081 ÷ 9 = 0.009
The first quotients is 1000 times larger than the second one. because the first is whole number and the second one is decimal number and the number
were being divided into 9 equal numbers. second one is not whole number so it becomes 1000 times lesser than the first one.

Question 4.
Are the quotients below reasonable? Explain your answers.
a. 5.6 ÷ 7 = 8
Answer:- No!. The dividend is only about 6. If that is divided into 7 parts. Then the answer must be less than  whole number.

b. 56 ÷ 7 = 0.8
Answer:- No!. These are 56 ones ÷ 7 we should get 8 ones, not 8 tenths.

c. 0.56 ÷ 7 = 0.08
Answer:- Yes!. 0.56 ÷ 7 = 0.08.

Question 5.
12.48 milliliters of medicine were separated into doses of 4 mL each. How many doses were made?
Answer:- 12.48 ÷ 4 =
12 ones ÷ 4 + 48 hundredths ÷ 4
3 ones + 12 hundredths
3.12 were made.

Question 6.
The price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon of milk in the 1950s. What was the cost for a gallon of milk during the 1950s? Use a tape diagram, and show your calculations.
Answer:-  3.28 ÷ 8 = ?
= 32 tenths ÷ 8 + 8 hundredths ÷ 8
= 4 tenths + 1 hundredth
= 0.41

Eureka Math Grade 5 Module 1 Lesson 13 Exit Ticket Answer Key

Question 1.
Complete the sentences with the correct number of units, and then complete the equation.
a. 2 groups of __ tenths is 1.8. 1.8 ÷ 2 = ___
Answer:-  2 groups of 9 tenths is 1.8. 1.8 ÷ 2 = 0.9

b. 4 groups of __ hundredths is 0.32. 0.32 ÷ 4 = ___
Answer:-  4 groups of 8 hundredths is 0.32. 0.32 ÷ 4 = 0.08

c. 7 groups of __ thousandths is 0.021. 0.021 ÷ 7 = ____
Answer:- 7 groups of 3 thousandths is 0.021. 0.021 ÷ 7 = 0.003

Question 2.
Complete the number sentence. Express the quotient in unit form and then in standard form.
a. 4.5 ÷ 5 = ____ tenths ÷ 5 = __ tenths = ____
Answer:- 4.5 ÷ 5 = 45 tenths ÷ 5 = 9 tenths = 0.9

b. 6.12 ÷ 6 = ____ ones ÷ 6 + ____ hundredths ÷ 6
= ____ ones + ____ hundredths
= ____
Answer:- 6.12 ÷ 6 = 6 ones ÷ 6 + 12 hundredths ÷ 6
= 1 ones + 2 hundredths
= 1.02

Eureka Math Grade 5 Module 1 Lesson 13 Homework Answer Key

Question 1.
Complete the sentences with the correct number of units, and then complete the equation.
a. 3 groups of ____ tenths is 1.5. 1.5 ÷ 3 = ____
Answer:- 3 groups of 5 tenths is 1.5. 1.5 ÷ 3 = 0.5

b. 6 groups of ____ hundredths is 0.24. 0.24 ÷ 6 = ____
Answer:- 6 groups of 4 hundredths is 0.24. 0.24 ÷ 6 = 0.04

c. 5 groups of ____ thousandths is 0.045. 0.045 ÷ 5 = ____
Answer:- 5 groups of 9 thousandths is 0.045. 0.045 ÷ 5 = 0.009

Question 2.
Complete the number sentence. Express the quotient in units and then in standard form.
a. 9.36 ÷ 3 = ____ ones ÷ 3 + ____ hundredths ÷ 3
= ____ ones + ____ hundredths
= ____
Answer:-  9.36 ÷ 3 = 9 ones ÷ 3 +36 hundredths ÷ 3
= 3 ones + 12 hundredths
= 3.12

b. 36.012 ÷ 3 = ____ ones ÷ 3 + ____ thousandths ÷ 3
= ____ ones + ____ thousandths
= ____
Answer:-  36.012 ÷ 3 =36 ones ÷ 3 + 12 thousandths ÷ 3
= 12 ones + 4 thousandths
= 12.004

c. 3.55 ÷ 5 = ____ tenths ÷ 5 + ____ hundredths ÷ 5
= ________
= ________
Answer:- 3.55 ÷ 5 = 35tenths ÷ 5 + 5 hundredths ÷ 5
= 7 tenths + 1 hundredth
= 0.71

d. 3.545 ÷ 5 = ____________
= ____________________
= ____________________
Answer:- 3.545 ÷ 5 = 35 tenths ÷ 5 + 45 thousandths ÷ 5
= 7 tenths + 9 thousandths
= 0.709

Question 3.
Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients.
a. 21 ÷ 7 = ____ 2.1 ÷ 7 = ____
Answer:- 21 ÷ 7 = 3; 2.1 ÷ 7 = 0.3

b. 48 ÷ 8 = ____ 0.048 ÷ 8 = ____
Answer:-  48 ÷ 8 = 6; 0.048 ÷ 8 = 0.006

Question 4.
Are the quotients below reasonable? Explain your answers.
a. 0.54 ÷ 6 = 9
Answer:- No!. The answer should be less than 0.54. It should have decimals in the answer be 0.09

b. 5.4 ÷ 6 = 0.9
Answer:- Yes!. The answer must be less than 5.4; 54 ÷ 6 = 9. So, The problem had one decimal
So, the answer will too have decimals.

c. 54 ÷ 6 = 0.09
Answer:- No!. The answer must not have decimals in answer because the whole number doesn’t
have.

Question 5.
A toy airplane costs $4.84. It costs 4 times as much as a toy car. What is the cost of the toy car?
Answer:-  4.84 ÷ 4
= 4 ones ÷ 4 + 8 tenths ÷ 4 hundredths ÷ 4
= 1 one + 2 tenths + 1 hundredth
= 1.21

Question 6.
Julian bought 3.9 liters of cranberry juice, and Jay bought 8.74 liters of apple juice. They mixed the two juices together and then poured them equally into 2 bottles. How many liters of juice are in each bottle?
Answer:- 3.9 + 8.74 = 12.64
And divide it by 2 bottles so, 12.64 ÷ 2 = 6.32

Engage NY Eureka Math 5th Grade Module 1 Lesson 12 Answer Key

Eureka Math Grade 5 Module 1 Lesson 12 Sprint Answer Key

A
Add Decimals


Answer:-

Question 1.
3 + 1 =
Answer:- 4

Question 2.
3.5 + 1 =
Answer:- 4.5

Question 3.
3.52 + 1 =
Answer:- 4.52

Question 4.
0.3 + 0.1 =
Answer:- 0.4

Question 5.
0.37 + 0.1 =
Answer:-  0.47

Question 6.
5.37 + 0.1 =
Answer:- 5.47

Question 7.
0.03 + 0.01 =
Answer:-  0.04

Question 8.
0.83 + 0.01 =
Answer:- 0.84

Question 9.
2.83 + 0.01 =
Answer:- 2.84

Question 10.
30 + 10 =
Answer:- 40

Question 11.
32 + 10 =
Answer:- 42

Question 12.
32.5 + 10 =
Answer:- 42.5

Question 13.
32.58 + 10 =
Answer:- 42.58

Question 14.
40.789 + 1 =
Answer:- 41.789

Question 15.
4 + 1 =
Answer:- 5

Question 16.
4.6 + 1 =
Answer:- 5.6

Question 17.
4.62 + 1 =
Answer:- 5.62

Question 18.
4.628 + 1 =
Answer:- 5.628

Question 19.
4.628 + 0.1 =
Answer:- 4.728

Question 20.
4.628 + 0.01 =
Answer:- 4.638

Question 21.
4.628 + 0.001 =
Answer:- 4.629

Question 22.
27.048 + 0.1 =
Answer:- 27.148

Question 23.
5 + 0.1 =
Answer:- 5.1

Question 24.
5.7 + 0.1 =
Answer:- 5.8

Question 25.
5.73 + 0.1 =
Answer:- 5.74

Question 26.
5.736 + 0.1 =
Answer:- 5.836

Question 27.
5.736 + 1 =
Answer:- 6.736

Question 28.
5.736 + 0.01 =
Answer:- 5.746

Question 29.
5.736 + 0.001 =
Answer:- 5.737

Question 30.
6.208 + 0.01 =
Answer:- 6.218

Question 31.
3 + 0.01 =
Answer:- 3.01

Question 32.
3.5 + 0.01 =
Answer:- 3.51

Question 33.
3.58 + 0.01 =
Answer:- 3.59

Question 34.
3.584 + 0.01 =
Answer:- 3.594

Question 35.
3.584 + 0.001 =
Answer:- 3.585

Question 36.
3.584 + 0.1 =
Answer:- 3.684

Question 37.
3.584 + 1 =
Answer:- 4.584

Question 38.
6.804 + 0.01 =
Answer:- 6.814

Question 39.
8.642 + 0.001 =
Answer:- 8.643

Question 40.
7.65 + 0.001 =
Answer:- 7.651

Question 41.
3.987 + 0.1 =
Answer:- 4.087

Question 42.
4.279 + 0.001 =
Answer:- 4.280

Question 43.
13.579 + 0.01 =
Answer:- 13.589

Question 44.
15.491 + 0.01 =
Answer:- 15.501

B
Add Decimals


Answer:-

Question 1.
2 + 1 =
Answer:- 3

Question 2.
2.5 + 1 =
Answer:- 3.5

Question 3.
2.53 + 1 =
Answer:- 3.53

Question 4.
0.2 + 0.1 =
Answer:- 0.3

Question 5.
0.27 + 0.1 =
Answer:- 0.37

Question 6.
5.27 + 0.1 =
Answer:- 5.37

Question 7.
0.02 + 0.01 =
Answer:- 0.03

Question 8.
0.82 + 0.01 =
Answer:- 0.83

Question 9.
4.82 + 0.01 =
Answer:- 4.83

Question 10.
20 + 10 =
Answer:- 30

Question 11.
23 + 10 =
Answer:- 33

Question 12.
23.5 + 10 =
Answer:- 33.5

Question 13.
23.58 + 10 =
Answer:- 33.58

Question 14.
30.789 + 1 =
Answer:- 31.789

Question 15.
3 + 1 =
Answer:- 4

Question 16.
3.6 + 1 =
Answer:- 4.6

Question 17.
3.62 + 1 =
Answer:- 4.62

Question 18.
3.628 + 1 =
Answer:- 4.628

Question 19.
3.628 + 0.1 =
Answer:- 3.728

Question 20.
3.628 + 0.01 =
Answer:- 3.638

Question 21.
3.628 + 0.001 =
Answer:- 3.629

Question 22.
37.048 + 0.1 =
Answer:- 37.148

Question 23.
4 + 0.1 =
Answer:- 4.1

Question 24.
4.7 + 0.1 =
Answer:- 4.8

Question 25.
4.73 + 0.1 =
Answer:- 4.83

Question 26.
4.736 + 0.1 =
Answer:- 4.836

Question 27.
4.736 + 1 =
Answer:- 5.736

Question 28.
4.736 + 0.01 =
Answer:- 4.746

Question 29.
4.736 + 0.001 =
Answer:- 4.737

Question 30.
5.208 + 0.01 =
Answer:- 5.218

Question 31.
2 + 0.01 =
Answer:- 2.01

Question 32.
2.5 + 0.01 =
Answer:- 2.51

Question 33.
2.58 + 0.01 =
Answer:- 2.59

Question 34.
2.584 + 0.01 =
Answer:- 2.594

Question 35.
2.584 + 0.001 =
Answer:- 2.585

Question 36.
2.584 + 0.1 =
Answer:- 2.684

Question 37.
2.584 + 1 =
Answer:- 3.584

Question 38.
5.804 + 0.01 =
Answer:- 5.814

Question 39.
7.642 + 0.001 =
Answer:- 7.643

Question 40.
6.75 + 0.001 =
Answer:- 6.751

Question 41.
2.987 + 0.1 =
Answer:- 3.087

Question 42.
3.279 + 0.001 =
Answer:- 3.280

Question 43.
12.579 + 0.01 =
Answer:- 12.589

Question 44.
14.391 + 0.01 =
Answer:- 14.401

Eureka Math Grade 5 Module 1 Lesson 12 Problem Set Answer Key

Question 1.
Choose the reasonable product for each expression. Explain your reasoning in the spaces below using words, pictures, or numbers.
a.
Answer:-  10 is the answer because 2.5 x 4 = 10

b.
Answer:-  21.98 is the answer because 3.14 x 7 = 21.98

c.
Answer:- 48.176 is the answer because 8 x 6.022 = 48.176

d.
Answer:-  49.32 is the answer because

Question 2.
Pedro is building a spice rack with 4 shelves that are each 0.55 meter long. At the hardware store, Pedro finds that he can only buy the shelving in whole meter lengths. Exactly how many meters of shelving does Pedro need? Since he can only buy whole-number lengths, how many meters of shelving should he buy? Justify your thinking.
Answer:-  Pedro wants 4 x 0.55m = 2.20m of shelving. But the hardware store provide the shelving meters only in whole numbers so he have to buy
the shelving in whole number and i.e., 3m because 2.20 is very nearest to the whole number of 3m. So, he can buy the shelving in 3m.

Question 3.
Marcel rides his bicycle to school and back on Tuesdays and Thursdays. He lives 3.62 kilometers away from school. Marcel’s gym teacher wants to know about how many kilometers he bikes in a week. Marcel’s math teacher wants to know exactly how many kilometers he bikes in a week. What should Marcel tell each teacher? Show your work.
Answer:-  Marcel says, He bikes in a week was 14km. Actual was 14.48km but he says approximate and nearest tenth of 14.48 km. Why because  Marcel rides his bicycle to school and back on Tuesdays and Thursdays for to and fro 3.62 x 4 = 14.48km.

Question 4.
The poetry club had its first bake sale, and they made $79.35. The club members are planning to have 4 more bake sales. Leslie said, “If we make the same amount at each bake sale, we’ll earn $3,967.50.” Peggy said, “No way, Leslie! We’ll earn $396.75 after five bake sales.” Use estimation to help Peggy explain why Leslie’s reasoning is inaccurate. Show your reasoning using words, numbers, or pictures.
Answer:-  The poetry club had its first bake sale, and they made $79.35 we will take a nearest whole number $80.00 this is for one bake sale. If they keep
four more bake sales and gets same sale as 80.00 they will earn 80 x 5 = 400 or $79.35 x 5 = $396.75. Leslie was wrong because she had multiplied 79.35
with 50 means with 50 bake sales not with 5 bake sales.

Eureka Math Grade 5 Module 1 Lesson 12 Exit Ticket Answer Key

Question 1.
Use estimation to choose the correct value for each expression.
a.
Answer:- 10.2 is the answer because 5.1 x 2 = 10.2

b.
Answer:- 35.72 is the answer because 4 x 8.93 = 35.72

Question 2.
Estimate the answer for 7.13 × 6. Explain your reasoning using words, pictures, or numbers.
Answer:- 7.13 x 6 = 42.78 because 7.13 times of 6 when we multiply 7.13 with 6 we will get 42.78 as the answer
(7 + 0.13) x (6)
(7 x 6) + (0.13 x 6)
42 + 0.78
42.78

Eureka Math Grade 5 Module 1 Lesson 12 Homework Answer Key

Choose the reasonable product for each expression. Explain your thinking in the spaces below using words, pictures, or numbers.
a.
Answer:- 6.3 is the answer because 2.1 x 3 = 6.3

b.
Answer:- 25.62 is the answer because 4.27 x 6 = 25.62

c.
Answer:- 42.371 is the answer because 7 x 6.053 = 42.371

d.
Answer:- 43.38 is the answer because 9 x 4.82 = 43.38

Question 2.
Yi Ting weighs 8.3 kg. Her older brother is 4 times as heavy as Yi Ting. How much does her older brother weigh in kilograms?
Answer:-  Yi Ting weighs 8.3 kg. Her older brother is 4 times as heavy as Yi Ting. That means 8.3 x 4 = 33.2
Yi Ting’s older brother weigh in kilograms is 33.2kgs.

Question 3.
Tim is painting his storage shed. He buys 4 gallons of white paint and 3 gallons of blue paint. Each gallon of white paint costs $15.72, and each gallon of blue paint is $21.87. How much will Tim spend in all on paint?
Answer:- He buys 4 gallons of white paint is $15.72 x 4 = $62.88
He buys 3 gallons of blue paint is $21.87 x 3 = $65.61
Therefore, Tim spend in all on paints is $128.49.

Question 4.
Ribbon is sold at 3 yards for $6.33. Jackie bought 24 yards of ribbon for a project. How much did she pay?
Answer:-  Ribbon sold 3 yards for $6.33 i.e., each yard costs $2.11. And Jackie bought 24 yards of ribbon for a project. That means 2.11 x 24 = 50.64
Total she pays $5.64

Engage NY Eureka Math 5th Grade Module 1 Lesson 11 Answer Key

Eureka Math Grade 5 Module 1 Lesson 11 Problem Set Answer Key

Question 1.
Solve by drawing disks on a place value chart. Write an equation, and express the product in standard form.
a. 3 copies of 2 tenths
Answer:- 3 × 0.2 = 0.6

b. 5 groups of 2 hundredths
Answer:- 5 × 0.02 = 0.1

c. 3 times 6 tenths
Answer:-  3 × 0.6 = 1.8

d. 6 times 4 hundredths
Answer:- 6 × 0.04 = 0.24

e. 5 times as much as 7 tenths
Answer:- 5 × 0.7 = 3.5

f. 4 thousandths times 3
Answer:- 0.004 × 3 = 0.012

Question 2.
Draw a model similar to the one pictured below for Parts (b), (c), and (d). Find the sum of the partial products to evaluate each expression.
a. 7 × 3.12

Answer:-

b. 6 × 4.25
Answer:-

c. 3 copies of 4.65
Answer:-

d. 4 times as much as 20.075
Answer:-

Question 3.
Miles incorrectly gave the product of 7 × 2.6 as 14.42. Use a place value chart or an area model to help Miles understand his mistake.
Answer:- 7 × 2.6 = 18.2

Question 4.
Mrs. Zamir wants to buy 8 protractors and some erasers for her classroom. She has $30. If protractors cost $2.65 each, how much will Mrs. Zamir have left to buy erasers?
Answer:- Mrs. Zamir has $30 in that she has to buy 8 protractors and some erasers so the each protractor costs $2.65 i.e., 8 x 2.65 = $21.2. Now, she left
with $30 – $21.2 = $8.80

Eureka Math Grade 5 Module 1 Lesson 11 Exit Ticket Answer Key

Question 1.
Solve by drawing disks on a place value chart. Write an equation, and express the product in standard form.
4 copies of 3 tenths
Answer:- 4 x 0.3 = 1.2

Question 2.
Complete the area model, and then find the product.

Answer:-  3 x 9.63 = 28.89

Eureka Math Grade 5 Module 1 Lesson 11 Homework Answer Key

Question 1.
Solve by drawing disks on a place value chart. Write an equation, and express the product in standard form.
a. 2 copies of 4 tenths
Answer:- 2 × 0.4 = 0.8

b. 4 groups of 5 hundredths
Answer:- 4 × 0.05 = 0.2

c. 4 times 7 tenths
Answer:- 4 × 0.7 = 2.8

d. 3 times 5 hundredths
Answer:- 3 × 0.05 = 0.15

e. 9 times as much as 7 tenths
Answer:- 9 × 0.7 = 6.3

f. 6 thousandths times 8
Answer:- 8 × 0.006 = 0.048

Question 2.
Draw a model similar to the one pictured below. Find the sum of the partial products to evaluate each expression.
a. 4 × 6.79

Answer:- 4 x 6.79 = 27.16

b. 6 × 7.49
Answer:- 6 × 7.49 = 44.94

c. 9 copies of 3.65
Answer:- 9 x 3.65 = 32.85

d. 3 times 20.175
Answer:- 3 x 20.175 = 60.525

Question 3.
Leanne multiplied 8 × 4.3 and got 32.24. Is Leanne correct? Use an area model to explain your answer.
Answer:- Leanne is wrong. 8 x 4.3 = 34.4

Question 4.
Anna buys groceries for her family. Hamburger meat is $3.38 per pound, sweet potatoes are $0.79 each, and hamburger rolls are $2.30 a bag. If Anna buys 3 pounds of meat, 5 sweet potatoes, and 1 bag of hamburger rolls, what will she pay in all for the groceries?
Answer:- 3 x $3.38 + 5 x $0.79 + 1 x $2.30 = $16.39

Engage NY Eureka Math 5th Grade Module 1 Lesson 10 Answer Key

Eureka Math Grade 5 Module 1 Lesson 10 Problem Set Answer Key

Question 1.
Subtract, writing the difference in standard form. You may use a place value chart to solve.
a. 5 tenths – 2 tenths = ____ tenths = ___
Answer:-  5 tenths – 2 tenths = 3 tenths = 0.3

b. 5 ones 9 thousandths – 2 ones = ___ ones ______ thousandths = ____
Answer:- 5 ones 9 thousandths – 2 ones = 3  ones = 9  thousandths = 3.009

c. 7 hundreds 8 hundredths – 4 hundredths = ___ hundreds ___ hundredths = ____
Answer:- 7 hundreds 8 hundredths – 4 hundredths = 7  hundreds  4  hundredths = 700.04

d. 37 thousandths – 16 thousandths = __ thousandths = _____
Answer:- 37 thousandths – 16 thousandths = 21 thousandths = 0.021

Question 2.
Solve using the standard algorithm.
a. 1.4 – 0.7 =
Answer:-  1.4 – 0.7 0.7

b. 91.49 – 0.7 =
Answer:-  91.49 – 0.7 =  90.79

c. 191.49 – 10.72 =
Answer:- 191.49 – 10.72 = 180.77

d. 7.148 – 0.07 =
Answer:-  7.148 – 0.07 = 7.078

e. 60.91 – 2.856 =
Answer:-  60.91 – 2.856 = 58.054

f. 361.31 – 2.841 =
Answer:-  61.31 – 2.841 = 358.469

Question 3.
Solve.
a. 10 tens – 1 ten 1 tenth
Answer:- 89.9

b. 3 – 22 tenths
Answer:- 0.8

c. 37 tenths – 1 one 2 tenths
Answer:- 2.5

d. 8 ones 9 hundredths – 3.4
Answer:- 4.69

e. 5.622 – 3 hundredths
Answer:- 5.592

f. 2 ones 4 tenths – 0.59
Answer:- 1.81

Question 4.
Mrs. Fan wrote 5 tenths minus 3 hundredths on the board. Michael said the answer is 2 tenths because 5 minus 3 is 2. Is he correct? Explain.
Answer:-  No, Michael is not correct. He is thinking that 5 tenths minus 3 tenths, but the question is 5 tenths minus 3 hundredths. Therefore,
5 tenths minus 3 hundredths  which means 0.5 – 0.03 = 0.47.

Question 5.
A pen costs $2.09. It costs $0.45 less than a marker. Ken paid for one pen and one marker with a five-dollar bill. Use a tape diagram with calculations to determine his change.
Answer:- The pen costs $2.09 and the marker costs $0.45. So, 2.09 – 0.45 = $0.37

Eureka Math Grade 5 Module 1 Lesson 10 Exit Ticket Answer Key

Question 1.
Subtract.
1.7 – 0.8 = ___ tenths – __ tenths = __ tenths =
Answer:-  1.7 – 0.8 = 17 tenths – 8 tenths = 9 tenths = 0.9

Question 2.
Subtract vertically, showing all work.
a. 84.637 – 28.56 = ___
Answer:-  84.637 – 28.56 = 56.077

b. 7 – 0.35 = ____
Answer:- 7 – 0.35 =  6.65

Eureka Math Grade 5 Module 1 Lesson 10 Homework Answer Key

Question 1.
Subtract. You may use a place value chart.
a. 9 tenths – 3 tenths = __ tenths
Answer:- 9 tenths – 3 tenths = 6 tenths

b. 9 ones 2 thousandths – 3 ones = __ ones __ thousandths
Answer:- 9 ones 2 thousandths – 3 ones = 6 ones  2  thousandths

c. 4 hundreds 6 hundredths – 3 hundredths = ___ hundreds __ hundredths
Answer:- 4 hundreds 6 hundredths – 3 hundredths = 4 hundreds  3 hundredths

d. 56 thousandths – 23 thousandths = __ thousandths = __ hundredths __ thousandths
Answer:- 56 thousandths – 23 thousandths = 33 thousandths = 3 hundredths 3  thousandths

Question 2.
Solve using the standard algorithm.
a. 1.8 – 0.9 =
Answer:- 1.8 – 0.9 = 0.9

b. 41.84 – 0.9 =
Answer:- 41.84 – 0.9 = 40.94

c. 341.84 – 21.92 =
Answer:- 341.84 – 21.92 = 319.92

d. 5.182 – 0.09 =
Answer:- 5.182 – 0.09 = 5.092

e. 50.416 – 4.25 =
Answer:- 50.416 – 4.25 = 46.166

f. 741 – 3.91 =
Answer:- 741 – 3.91 = 737.09

Question 3.
Solve.
a. 30 tens – 3 tens 3 tenths
Answer:- 269.7

b. 5 – 16 tenths
Answer:- 3.4

c. 24 tenths – 1 one 3 tenths
Answer:- 1.1

d. 6 ones 7 hundredths – 2.3
Answer:- 3.77

e. 8.246 – 5 hundredths
Answer:- 8.196

f. 5 ones 3 tenths – 0.53
Answer:- 4.77

Question 4.
Mr. House wrote 8 tenths minus 5 hundredths on the board. Maggie said the answer is 3 hundredths because 8 minus 5 is 3. Is she correct? Explain.
Answer:- No, Maggie is not correct. She thinks  8 minus 5 is 3. Actually, the thing is 0.8 – 0.05 = 0.75.

Question 5.
A clipboard costs $2.23. It costs $0.58 more than a notebook. Lisa bought two clipboards and one notebook. She paid with a ten-dollar bill. How much change does Lisa get? Use a tape diagram to show your thinking.
Answer:- A  clipboard costs $2.23 + cost of a notebook $1.65 she bought 2 clipboards and 1 notebook. So, 2.23 + 2.23 + 1.65 = 6.11
. She paid $10 dollar she will get change of $3.89.

Engage NY Eureka Math 5th Grade Module 1 Lesson 9 Answer Key

Eureka Math Grade 5 Module 1 Lesson 9 Sprint Answer Key

A
Round to the Nearest One


Answer:-

Question 1.
3.1 ≈
Answer:-   3

Question 2.
3.2 ≈
Answer:- 3

Question 3.
3.3 ≈
Answer:- 3

Question 4.
3.4 ≈
Answer:- 3

Question 5.
3.5 ≈
Answer:- 4

Question 6.
3.6 ≈
Answer:- 4

Question 7.
3.9 ≈
Answer:- 4

Question 8.
13.9 ≈
Answer:- 14

Question 9.
13.1 ≈
Answer:- 13

Question 10.
13.5 ≈
Answer:- 14

Question 11.
7.5 ≈
Answer:- 8

Question 12.
8.5 ≈
Answer:- 9

Question 13.
9.5 ≈
Answer:- 10

Question 14.
19.5 ≈
Answer:- 20

Question 15.
29.5 ≈
Answer:- 30

Question 16.
89.5 ≈
Answer:- 90

Question 17.
2.4 ≈
Answer:- 2

Question 18.
2.41 ≈
Answer:- 2

Question 19.
2.42 ≈
Answer:- 2

Question 20.
2.45 ≈
Answer:- 2

Question 21.
2.49 ≈
Answer:- 2

Question 22.
2.51 ≈
Answer:- 3

Question 23.
12.51 ≈
Answer:- 13

Question 24.
16.61 ≈
Answer:- 17

Question 25.
17.41 ≈
Answer:- 17

Question 26.
11.51 ≈
Answer:- 12

Question 27.
11.49 ≈
Answer:- 11

Question 28.
13.49 ≈
Answer:- 13

Question 29.
13.51 ≈
Answer:- 14

Question 30.
15.51 ≈
Answer:- 16

Question 31.
15.49 ≈
Answer:- 15

Question 32.
6.3 ≈
Answer:- 6

Question 33.
7.6 ≈
Answer:- 8

Question 34.
49.5 ≈
Answer:- 50

Question 35.
3.45 ≈
Answer:- 3

Question 36.
17.46 ≈
Answer:- 17

Question 37.
11.76 ≈
Answer:- 12

Question 38.
5.2 ≈
Answer:- 5

Question 39.
12.8 ≈
Answer:- 13

Question 40.
59.5 ≈
Answer:- 60

Question 41.
5.45 ≈
Answer:- 5

Question 42.
19.47 ≈
Answer:- 19

Question 43.
19.87 ≈
Answer:- 20

Question 44.
69.51 ≈
Answer:- 70

B
Round to the Nearest One


Answer:-

Question 1.
4.1 ≈
Answer:- 4

Question 2.
4.2 ≈
Answer:-  4

Question 3.
4.3 ≈
Answer:-  4

Question 4.
4.4 ≈
Answer:-  4

Question 5.
4.5 ≈
Answer:-  5

Question 6.
4.6 ≈
Answer:-  5

Question 7.
4.9 ≈
Answer:-  5

Question 8.
14.9 ≈
Answer:- 15

Question 9.
14.1 ≈
Answer:- 14

Question 10.
14.5 ≈
Answer:- 15

Question 11.
7.5 ≈
Answer:-  8

Question 12.
8.5 ≈
Answer:- 9

Question 13.
9.5 ≈
Answer:- 10

Question 14.
19.5 ≈
Answer:- 20

Question 15.
29.5 ≈
Answer:- 30

Question 16.
79.5 ≈
Answer:- 80

Question 17.
3.4 ≈
Answer:- 3

Question 18.
3.41 ≈
Answer:- 3

Question 19.
3.42 ≈
Answer:- 3

Question 20.
3.45 ≈
Answer:- 3

Question 21.
3.49 ≈
Answer:- 3

Question 22.
3.51 ≈
Answer:- 4

Question 23.
13.51 ≈
Answer:- 14

Question 24.
17.61 ≈
Answer:- 18

Question 25.
18.41 ≈
Answer:- 18

Question 26.
12.51 ≈
Answer:- 13

Question 27.
12.49 ≈
Answer:- 12

Question 28.
14.49 ≈
Answer:- 14

Question 29.
14.51 ≈
Answer:- 15

Question 30.
16.51 ≈
Answer:- 17

Question 31.
16.49 ≈
Answer:- 16

Question 32.
7.3 ≈
Answer:- 7

Question 33.
8.6 ≈
Answer:- 9

Question 34.
39.5 ≈
Answer:- 40

Question 35.
4.45 ≈
Answer:- 4

Question 36.
18.46 ≈
Answer:- 18

Question 37.
12.76 ≈
Answer:- 13

Question 38.
6.2 ≈
Answer:- 6

Question 39.
13.8 ≈
Answer:- 14

Question 40.
49.5 ≈
Answer:- 50

Question 41.
6.45 ≈
Answer:-  6

Question 42.
19.48 ≈
Answer:-  19

Question 43.
19.78 ≈
Answer:- 20

Question 44.
59.51 ≈
Answer:- 60

Eureka Math Grade 5 Module 1 Lesson 9 Problem Set Answer Key

Question 1.
Solve, and then write the sum in standard form. Use a place value chart if necessary.
a. 1 tenth + 2 tenths = ____________ tenths = ___________
Answer:- 1 tenth + 2 tenths = 3 tenths = 0.3

b. 14 tenths + 9 tenths = __________ tenths = ________ one(s) _______ tenth(s) = ___________
Answer:- 14 tenths + 9 tenths =23  tenths = 3 one(s) = 2  tenth(s) = 2.3

c. 1 hundredth + 2 hundredths = ____________ hundredths = ___________
Answer:- 1 hundredth + 2 hundredths = 3  hundredths = 0.03

d. 27 hundredths + 5 hundredths = _____ hundredths = ______ tenths ______ hundredths = ______
Answer:- 27 hundredths + 5 hundredths =  32  hundredths = 3  tenths= 2  hundredths = 0.32

e. 1 thousandth + 2 thousandths = ________ thousandths = ___________
Answer:- 1 thousandth + 2 thousandths = 3  thousandths =0.003

f. 35 thousandths + 8 thousandths = ____ thousandths = ____ hundredths ____ thousandths = ______
Answer:- 35 thousandths + 8 thousandths = 43  thousandths = 4 hundredths = 3 thousandths = 0.043

g. 6 tenths + 3 thousandths = ____________ thousandths = _________
Answer:- 6 tenths + 3 thousandths = 603 thousandths = 0.603

h. 7 ones 2 tenths + 4 tenths = _____________ tenths = _________
Answer:- 7 ones 2 tenths + 4 tenths = 76  tenths = 7.6

i. 2 thousandths + 9 ones 5 thousandths = ___________ thousandths = __________
Answer:- 2 thousandths + 9 ones 5 thousandths = 9007  thousandths = 9.007

Question 2.
Solve using the standard algorithm.
a. 0.3 + 0.82 = ____________
Answer:-  0.3 + 0.82 = 1.12

b. 1.03 + 0.08 = ____________
Answer:-  1.03 + 0.08 = 1.11

c. 7.3 + 2.8 = ____________
Answer:-  7.3 + 2.8 = 10.1

d. 57.03 + 2.08 = ____________
Answer:-  57.03 + 2.08 = 59.11

e. 62.573 + 4.328 = ____________
Answer:-  62.573 + 4.328 = 66.901

f. 85.703 + 12.197 = ____________
Answer:-  85.703 + 12.197 = 97.900

Question 3.
Van Cortlandt Park’s walking trail is 1.02 km longer than Marine Park’s. Central Park’s walking trail is 0.242 km longer than Van Cortlandt’s.
a. Fill in the missing information in the chart below.

New York City Walking Trails
Central Park	2.542 km
Marine Park	1.28 km
Van Cortlandt Park	2.300 km

b. If a tourist walked all 3 trails in a day, how many kilometers would he or she have walked?
Answer:-  If a tourist walked all 3 trails in a day, he/she would have walked 6.122 kms.

Question 4.
Meyer has 0.64 GB of space remaining on his iPod. He wants to download a pedometer app (0.24 GB), a photo app (0.403 GB), and a math app (0.3 GB). Which combinations of apps can he download? Explain your thinking.
Answer:-  He can download the Pedometer app and Math app because he has the remaining space is 0.64GB and the pedometer app is 0.24GB and the
Math app is 0.3GB. So, 0.24 + 0.3 = 0.27GB the photo app is over the space which is 0.403GB. Meyer doesn’t have overall space also.

Eureka Math Grade 5 Module 1 Lesson 9 Exit Ticket Answer Key

Question 1.
Solve.
a. 4 hundredths + 8 hundredths = ______ hundredths = ______ tenth(s) _______ hundredths
Answer:-  4 hundredths + 8 hundredths = 12  hundredths = 1  tenth(s) = 2  hundredths

b. 64 hundredths + 8 hundredths = ______ hundredths = ______ tenths _______ hundredths
Answer:- 64 hundredths + 8 hundredths = 72   hundredths = 7   tenths = 2  hundredths

Question 2.
Solve using the standard algorithm.
a. 2.40 + 1.8 = ____________
Answer:-  2.40 + 1.8 = 4.20

b. 36.25 + 8.67 = ____________
Answer:-  36.25 + 8.67 = 44.92

Eureka Math Grade 5 Module 1 Lesson 9 Homework Answer Key

Question 1.
Solve.
a. 3 tenths + 4 tenths = ____________ tenths
Answer:- 3 tenths + 4 tenths = 7 tenths

b. 12 tenths + 9 tenths = ____________ tenths = ____________ one(s) ____________ tenth(s)
Answer:- 12 tenths + 9 tenths = 21 tenths = 2 one(s)=  1 tenth(s)

c. 3 hundredths + 4 hundredths = ____________ hundredths
Answer:-3 hundredths + 4 hundredths = 7 hundredths

d. 27 hundredths + 7 hundredths = ______ hundredths = ______ tenths _______ hundredths
Answer:-27 hundredths + 7 hundredths = 34  hundredths = 3  tenths= 4  hundredths

e. 4 thousandths + 3 thousandths = ____________ thousandths
Answer:- 4 thousandths + 3 thousandths = 7  thousandths

f. 39 thousandths + 5 thousandths = ____ thousandths = ____ hundredths ____ thousandths
Answer:- 39 thousandths + 5 thousandths = 44  thousandths = 4  hundredths = 4 thousandths

g. 5 tenths + 7 thousandths = ____________ thousandths
Answer:- 5 tenths + 7 thousandths = 507  thousandths

h. 4 ones 4 tenths + 4 tenths = ____________ tenths
Answer:- 4 ones 4 tenths + 4 tenths = 48  tenths

i. 8 thousandths + 6 ones 8 thousandths = ____________ thousandths
Answer:- 8 thousandths + 6 ones 8 thousandths = 6016  thousandths

Question 2.
Solve using the standard algorithm.
a. 0.4 + 0.7 = ____________
Answer:- 0.4 + 0.7 = 1.1

b. 2.04 + 0.07 = ____________
Answer:- 2.04 + 0.07 = 2.11

c. 6.4 + 3.7 = ____________
Answer:- 6.4 + 3.7 = 10.1

d. 56.04 + 3.07 = ____________
Answer:- 56.04 + 3.07 = 59.11

e. 72.564 + 5.137 = ____________
Answer:- 72.564 + 5.137 = 77.701

f. 75.604 + 22.296 = ____________
Answer:- 75.604 + 22.296 = 97.900

Question 3.
Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063 kilometers long. Anping Bridge, which was built in China 850 years ago, is 2.07 kilometers long.
a. What is the total span of both bridges? Show your thinking.
Answer:- The total span of both bridges are 4,133 km.  As Hudson bridge is 2.063 long and Anping Bridge is 2.07 long and we have to add up both the
bridges km, then we got 4133km.

b. Leah likes to walk her dog on the Walkway Over the Hudson. If she walks across and back, how far will she and her dog walk?
Answer:- If they across and walk back to the Bridge that means they have walked for 4126 km, That means she and her dog walks that bridge two types
So, I have added the bridge km two times. 2.063 + 2.063 = 4.126km.

Question 4.
For his parents’ anniversary, Danny spends $5.87 on a photo. He also buys a balloon for $2.49 and a box of strawberries for $4.50. How much money does he spend all together?
Answers:- He spends $12.86. The photo costs $5.87 + balloon costs $2.49 + Box of strawberries $4.50 = $5.87 + $2.49 + $4.50 = $12.86.